Question

Prove that the bisector of an angle of a tringle divides the side opposite to the angle in ratio of the remaining sides​

Answer 1

Answer:

Step-by-step explanation:

TO PROVE:

AC/AB = DC/DB

CONSTRUCT A LINE PARALLEL TO AD and ray CA   TO INTERSECT AT E

<CAD = <DAB--bisected angle

<CAD = <AEB--corresp angles

<DAB = <ABE--alternative angles

therfore,, TRIangle AEB is is0sceles and AE=AB

By side splitting theorem :

we get AC/AE=DC/BD

since AE = AB we have AC/AB = DC/DB..

                                                       

                                       HENCE PROOF........